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Finding the Fourth Proportional to 232,687.69, 321,109.31 and 132,085.69

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Solution

The fourth proportional to 232,687.69, 321,109.31 and 132,085.69 is: 182,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,687.69 : 321,109.31 = 132,085.69 : x
  2. Step 2: Convert to fraction form
    232,687.69/321,109.31 = 132,085.69/x
  3. Step 3: Cross multiply
    232,687.69x = 321,109.31 × 132,085.69
  4. Step 4: Simplify right side
    232,687.69x = 42,413,944,304.21
  5. Step 5: Solve for x
    x = 42,413,944,304.21/232,687.69
  6. Step 6: Final answer
    x = 182,278.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.